Finite Group Databasebeta

← #26182513

Subgroups — #26182513

Order 12032.

944 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20252046C212yesmaximal, complemented
2#20241757C212yesmaximal, complemented
3#20241744C212yesmaximal, complemented
4#20241736C212yesmaximal
5#20241732C211yesmaximal, characteristic, complemented
6#20241722C211yesmaximal, characteristic, complemented
7#20241718C211yesmaximal, characteristic, complemented
8#20241712C211yesmaximal, characteristic, complemented
9#20241702C211yesmaximal, characteristic, complemented
10C2×#15688849C211yesmaximal, characteristic, complemented
11C2×C47×#552C211yesmaximal, characteristic
12#15689184—22no—
13#15689184—22no—
14#15689180C2212yes—
15#15689180C2212yes—
16#15689176C2212yes—
17#15689176C2212yes—
18#15689150—22no—
19#15689087C2212yes—
20C2×C22⋊(C47⋊C8)C2212yes—
21#15689079—22no—
22#15688849C2211yescharacteristic
23#15688849C2211yescharacteristic
24#15688849C2212yes—
25#15688849C2211yescharacteristic
26#15688849C2211yescharacteristic
27#15688849C2212yes—
28#15688849C2212yes—
29#15688849C2212yes—
30#15688847C2212yes—
31#15688847C2212yes—
32C47×#552—22no—
33C47×#552—22no—
34C47×#552—22no—
35C47×#552—22no—
36C2×#126×C47C411yescharacteristic
37C2×#126×C47C2211yescharacteristic
38C2×#125×C47C411yescharacteristic
39C2×#125×C47C411yescharacteristic
40C2×#125×C47C2211yescharacteristic
41C2×#123×C47C411yescharacteristic
42C2×#123×C47C2211yescharacteristic
43C2×C22⋊Q8×C47C411yescharacteristic
44C2×C22⋊Q8×C47C411yescharacteristic
45C2×C4×Q8×C47C2211yescharacteristic
46C2×C4×D4×C47C411yescharacteristic
47C2×#117×C47C411yescharacteristic
48C2×#117×C47C2211yescharacteristic
49C2×#117×C47C2211yescharacteristic
50C22×C4⋊C4×C47C2211yescharacteristic
51C2×#10625329—22no—
52C22×C47⋊C8—22no—
53C4⋊(C47⋊C8)—22no—
54C4⋊(C47⋊C8)—22no—
55C4⋊(C47⋊C8)—22no—
56C4⋊(C47⋊C8)—22no—
57C22⋊(C47⋊C8)—22no—
58C22⋊(C47⋊C8)—22no—
59C22⋊(C47⋊C8)C2312yes—
60C22⋊(C47⋊C8)C2312yes—
61C22⋊(C47⋊C8)C2312yes—
62C22⋊(C47⋊C8)C2312yes—
63#13093935—22no—
64#13093935—22no—
65C4×C47⋊C8—22no—
66C4×C47⋊C8—22no—
67C22×Q8×C47C2×C411yescharacteristic
68C22×D4×C47C2×C411yescharacteristic
69C23×C4×C47C2×C411yescharacteristic
70C23×C4×C47C2×C411yescharacteristic
71C23×C4×C47C2×C411yescharacteristic
72C23×C4×C47C2311yescharacteristic
73#126×C47—22no—
74#126×C47—22no—
75#126×C47—22no—
76#126×C47—22no—
77#125×C47—22no—
78#125×C47—22no—
79#125×C47—22no—
80#125×C47—22no—
81#125×C47—22no—
82#125×C47—22no—
83#123×C47—22no—
84#123×C47—22no—
85#123×C47—22no—
86#123×C47—22no—
87C22⋊Q8×C47—22no—
88C22⋊Q8×C47—22no—
89C22⋊Q8×C47—22no—
90C22⋊Q8×C47—22no—
91C4×Q8×C47—22no—
92C4×Q8×C47—22no—
93C4×D4×C47—21no—
94C4×D4×C47—21no—
95C4×D4×C47—21no—
96C4×D4×C47—21no—
97#117×C47—21no—
98#117×C47—21no—
99#117×C47—21no—
100#117×C47—21no—
101#117×C47—22no—
102#117×C47—22no—
103#117×C47D412yes—
104#117×C47D412yes—
105#117×C47D412yes—
106#117×C47D412yes—
107C2×C4⋊C4×C47—22no—
108C2×C4⋊C4×C47—22no—
109C2×C4⋊C4×C47C2×C411yescharacteristic
110C2×C4⋊C4×C47C2×C411yescharacteristic
111C2×C4⋊C4×C47C2×C411yescharacteristic
112C2×C4⋊C4×C47C2×C411yescharacteristic
113C2×C4⋊C4×C47C2×C411yescharacteristic
114C2×C4⋊C4×C47C2×C411yescharacteristic
115C2×C4⋊C4×C47C2×C411yescharacteristic
116C2×C4⋊C4×C47C2×C411yescharacteristic
117C2×C4⋊C4×C47C2×C411yescharacteristic
118C2×C4⋊C4×C47C2×C411yescharacteristic
119C2×C4⋊C4×C47C2×C411yescharacteristic
120C2×C4⋊C4×C47C2×C411yescharacteristic
121C2×C4⋊C4×C47C2×C411yescharacteristic
122C2×C4⋊C4×C47C2311yescharacteristic
123C2×C4⋊C4×C47C2311yescharacteristic
124C2×C4⋊C4×C47C2311yescharacteristic
125C2×C22⋊C4×C47C2×C411yescharacteristic
126C2×C22⋊C4×C47C2×C411yescharacteristic
127C2×C22⋊C4×C47C2×C411yescharacteristic
128C2×C22⋊C4×C47C2×C411yescharacteristic
129C2×C22⋊C4×C47C2×C411yescharacteristic
130C2×C22⋊C4×C47C2×C411yescharacteristic
131C2×C22⋊C4×C47C2×C411yescharacteristic
132C2×C22⋊C4×C47C2311yescharacteristic
133C2×C42×C47C2×C411yescharacteristic
134C2×C42×C47C2×C411yescharacteristic
135C2×C42×C47C2×C411yescharacteristic
136C2×C42×C47C2311yescharacteristic
137C2×C42×C47C2311yescharacteristic
138C24×C47C22×C411yescharacteristic
139C24×C47C22×C411yescharacteristic
140C2×Q8×C47—22no—
141C2×Q8×C47—22no—
142C2×Q8×C47—41no—
143C2×D4×C47—21no—
144C2×D4×C47—21no—
145C2×D4×C47—42no—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47—21no—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—21no—
152C22×C4×C47—22no—
153C22×C4×C47—22no—
154C22×C4×C47—41no—
155C22×C4×C47—41no—
156C22×C4×C47—42no—
157C22×C4×C47—42no—
158C22×C4×C47C22×C411yescharacteristic
159C22×C4×C47C22×C411yescharacteristic
160C22×C4×C47C22×C411yescharacteristic
161C22×C4×C47C22×C411yescharacteristic
162C22×C4×C47C22×C411yescharacteristic
163C22×C4×C47C22×C411yescharacteristic
164C22×C4×C47C22×C411yescharacteristic
165C22×C4×C47C22×C411yescharacteristic
166C22×C4×C47C22×C411yescharacteristic
167C22×C4×C47C22×C411yescharacteristic
168C22×C4×C47C22×C411yescharacteristic
169C22×C4×C47C22×C411yescharacteristic
170C22×C4×C47C2×D412yes—
171C22×C4×C47C2×D412yes—
172C22×C4×C47C2411yescharacteristic
173C4⋊C4×C47—22no—
174C4⋊C4×C47—22no—
175C4⋊C4×C47—22no—
176C4⋊C4×C47—21no—
177C4⋊C4×C47—21no—
178C4⋊C4×C47—21no—
179C4⋊C4×C47—21no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47—21no—
182C4⋊C4×C47—22no—
183C4⋊C4×C47—22no—
184C4⋊C4×C47—22no—
185C4⋊C4×C47—22no—
186C4⋊C4×C47—22no—
187C4⋊C4×C47—22no—
188C4⋊C4×C47—22no—
189C4⋊C4×C47—22no—
190C4⋊C4×C47C22⋊C412yes—
191C4⋊C4×C47C22⋊C412yes—
192C4⋊C4×C47C22⋊C412yes—
193C4⋊C4×C47C22⋊C412yes—
194C22⋊C4×C47—21no—
195C22⋊C4×C47—21no—
196C22⋊C4×C47—22no—
197C22⋊C4×C47—21no—
198C22⋊C4×C47—21no—
199C22⋊C4×C47—22no—
200C22⋊C4×C47—22no—
201C22⋊C4×C47—22no—
202C22⋊C4×C47C22⋊C411yescharacteristic
203C22⋊C4×C47C22⋊C411yescharacteristic
204C22⋊C4×C47C22⋊C411yescharacteristic
205C22⋊C4×C47C22⋊C411yescharacteristic
206C22⋊C4×C47C22⋊C412yes—
207C22⋊C4×C47C22⋊C412yes—
208C42×C47—21no—
209C42×C47—21no—
210C42×C47—21no—
211C42×C47—21no—
212C42×C47—21no—
213C42×C47—21no—
214C42×C47C2×D412yes—
215C42×C47C2×D412yes—
216C42×C47C2×D412yes—
217C42×C47C2×D412yes—
218#10625329—44no—
219C2×C47⋊C8—22no—
220C2×C47⋊C8—22no—
221C2×C47⋊C8—22no—
222C2×C47⋊C8—22no—
223C2×C47⋊C8—44no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47—22no—
227C23×C47—21no—
228C23×C47—21no—
229C23×C47—21no—
230C23×C47—41no—
231C23×C47—41no—
232C23×C47—41no—
233C23×C47C2×C22⋊C411yescharacteristic
234C23×C47C2×C22⋊C411yescharacteristic
235C23×C47C23×C411yescharacteristic
236Q8×C47—44no—
237D4×C47—42no—
238D4×C47—42no—
239C2×C4×C47—21no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—24no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—41no—
257C2×C4×C47—42no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—42no—
262C2×C4×C47—42no—
263C2×C4×C47—42no—
264C2×C4×C47—42no—
265C2×C4×C47—42no—
266C2×C4×C47—42no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—41no—
271C2×C4×C47C2×C22⋊C411yescharacteristic
272C2×C4×C47C2×C22⋊C411yescharacteristic
273C2×C4×C47C2×C22⋊C411yescharacteristic
274C2×C4×C47C2×C22⋊C411yescharacteristic
275C2×C4×C47C2×C22⋊C412yes—
276C2×C4×C47C2×C22⋊C412yes—
277C2×C4×C47C2×C22⋊C412yes—
278C2×C4×C47#13112yes—
279C2×C4×C47C22×D412yes—
280C47⋊C8—42no—
281C47⋊C8—42no—
282C47⋊C8—42no—
283C47⋊C8—42no—
284#17417—471nomaximal, Sylow
285C22×C47—21no—
286C22×C47—21no—
287C22×C47—21no—
288C22×C47—21no—
289C22×C47—21no—
290C22×C47—21no—
291C22×C47—21no—
292C22×C47—42no—
293C22×C47—42no—
294C22×C47—41no—
295C22×C47—41no—
296C22×C47—41no—
297C22×C47—81no—
298C22×C47—81no—
299C22×C47#41012yes—
300C22×C47C22×C22⋊C411yescharacteristic
301C22×C47C2×#13111yescharacteristic
302C22×C47#56811yescharacteristic
303C4×C47—22no—
304C4×C47—21no—
305C4×C47—21no—
306C4×C47—22no—
307C4×C47—22no—
308C4×C47—22no—
309C4×C47—21no—
310C4×C47—21no—
311C4×C47—22no—
312C4×C47—41no—
313C4×C47—41no—
314C4×C47—41no—
315C4×C47—41no—
316C4×C47—41no—
317C4×C47—41no—
318C2×#552D4711yescharacteristic
319#2924—472no—
320#1473—472no—
321#1470—472no—
322#1468—472no—
323#1467—471no—
324#1464—471no—
325#1463—471no—
326#1461—471no—
327#1458—471no—
328C2×#324—471no—
329C2×C47—21no—
330C2×C47—21no—
331C2×C47—22no—
332C2×C47—41no—
333C2×C47—81no—
334C2×C47#288011yescharacteristic
335C2×C47C2×#41011yescharacteristic
336C2×C47#288911yescharacteristic
337#552—22no—
338#552—22no—
339#552—22no—
340#552—22no—
341C2×#126Dic4711yescharacteristic
342C2×#126C2×D4711yescharacteristic
343C2×#125Dic4711yescharacteristic
344C2×#125Dic4711yescharacteristic
345C2×#125C2×D4711yescharacteristic
346C2×#123Dic4711yescharacteristic
347C2×#123C2×D4711yescharacteristic
348C2×C22⋊Q8Dic4711yescharacteristic
349C2×C22⋊Q8Dic4711yescharacteristic
350C2×C4×Q8C2×D4711yescharacteristic
351C2×C4×D4Dic4711yescharacteristic
352C2×#117Dic4711yescharacteristic
353C2×#117C2×D4711yescharacteristic
354C2×#117C2×D4711yescharacteristic
355C22×C4⋊C4C2×D4711yescharacteristic
356#433—942no—
357#433—942no—
358#432—472no—
359#432—472no—
360#431—472no—
361#431—472no—
362#424—942no—
363#407—472no—
364C2×C22⋊C8—472no—
365#405—942no—
366#324—471no—
367#324—471no—
368#324—472no—
369#324—471no—
370#324—471no—
371#324—472no—
372#324—472no—
373#324—472no—
374#323—472no—
375#323—472no—
376C47#1741711yescharacteristic, complemented, Sylow
377C22×Q8C2×Dic4711yescharacteristic
378C22×D4C2×Dic4711yescharacteristic
379C23×C4C2×Dic4711yescharacteristic
380C23×C4C2×Dic4711yescharacteristic
381C23×C4C2×Dic4711yescharacteristic
382C23×C4C22×D4711yescharacteristic
383C2×M16—942no—
384C22×C8—942no—
385#126—22no—
386#126—22no—
387#126—22no—
388#126—22no—
389#125—22no—
390#125—22no—
391#125—22no—
392#125—22no—
393#125—22no—
394#125—22no—
395#123—22no—
396#123—22no—
397#123—22no—
398#123—22no—
399C22⋊Q8—22no—
400C22⋊Q8—22no—
401C22⋊Q8—22no—
402C22⋊Q8—22no—
403C4×Q8—22no—
404C4×Q8—22no—
405C4×D4—21no—
406C4×D4—21no—
407C4×D4—21no—
408C4×D4—21no—
409#117—21no—
410#117—21no—
411#117—21no—
412#117—21no—
413#117—22no—
414#117—22no—
415#117C22⋊D4712yes—
416#117C22⋊D4712yes—
417#117C22⋊D4712yes—
418#117C22⋊D4712yes—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4C2×Dic4711yescharacteristic
422C2×C4⋊C4C2×Dic4711yescharacteristic
423C2×C4⋊C4C2×Dic4711yescharacteristic
424C2×C4⋊C4C2×Dic4711yescharacteristic
425C2×C4⋊C4C2×Dic4711yescharacteristic
426C2×C4⋊C4C2×Dic4711yescharacteristic
427C2×C4⋊C4C2×Dic4711yescharacteristic
428C2×C4⋊C4C2×Dic4711yescharacteristic
429C2×C4⋊C4C2×Dic4711yescharacteristic
430C2×C4⋊C4C2×Dic4711yescharacteristic
431C2×C4⋊C4C2×Dic4711yescharacteristic
432C2×C4⋊C4C2×Dic4711yescharacteristic
433C2×C4⋊C4C2×Dic4711yescharacteristic
434C2×C4⋊C4C22×D4711yescharacteristic
435C2×C4⋊C4C22×D4711yescharacteristic
436C2×C4⋊C4C22×D4711yescharacteristic
437C2×C22⋊C4C2×Dic4711yescharacteristic
438C2×C22⋊C4C2×Dic4711yescharacteristic
439C2×C22⋊C4C2×Dic4711yescharacteristic
440C2×C22⋊C4C2×Dic4711yescharacteristic
441C2×C22⋊C4C2×Dic4711yescharacteristic
442C2×C22⋊C4C2×Dic4711yescharacteristic
443C2×C22⋊C4C2×Dic4711yescharacteristic
444C2×C22⋊C4C22×D4711yescharacteristic
445C2×C42C2×Dic4711yescharacteristic
446C2×C42C2×Dic4711yescharacteristic
447C2×C42C2×Dic4711yescharacteristic
448C2×C42C22×D4711yescharacteristic
449C2×C42C22×D4711yescharacteristic
450C4⋊C8—942no—
451C4⋊C8—942no—
452C4⋊C8—942no—
453C4⋊C8—942no—
454C22⋊C8—472no—
455C22⋊C8—472no—
456C22⋊C8—472no—
457C22⋊C8—472no—
458C22⋊C8—942no—
459C22⋊C8—942no—
460#97—942no—
461#97—942no—
462C4×C8—942no—
463C4×C8—942no—
464C24C22×Dic4711yescharacteristic
465C24C22×Dic4711yescharacteristic
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—41no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—42no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4C22×Dic4711yescharacteristic
485C22×C4C22×Dic4711yescharacteristic
486C22×C4C22×Dic4711yescharacteristic
487C22×C4C22×Dic4711yescharacteristic
488C22×C4C22×Dic4711yescharacteristic
489C22×C4C22×Dic4711yescharacteristic
490C22×C4C22×Dic4711yescharacteristic
491C22×C4C22×Dic4711yescharacteristic
492C22×C4C22×Dic4711yescharacteristic
493C22×C4C22×Dic4711yescharacteristic
494C22×C4C22×Dic4711yescharacteristic
495C22×C4C22×Dic4711yescharacteristic
496C22×C4C2×C22⋊D4712yes—
497C22×C4C2×C22⋊D4712yes—
498C22×C4C23×D4711yescharacteristic
499M16—1884no—
500C2×C8—942no—
501C2×C8—942no—
502C2×C8—942no—
503C2×C8—942no—
504C2×C8—1884no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—22no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—22no—
515C4⋊C4—22no—
516C4⋊C4—22no—
517C4⋊C4—22no—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4—22no—
522C4⋊C4C22⋊Dic4712yes—
523C4⋊C4C22⋊Dic4712yes—
524C4⋊C4C22⋊Dic4712yes—
525C4⋊C4C22⋊Dic4712yes—
526C22⋊C4—21no—
527C22⋊C4—21no—
528C22⋊C4—22no—
529C22⋊C4—21no—
530C22⋊C4—21no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4C22⋊Dic4711yescharacteristic
535C22⋊C4C22⋊Dic4711yescharacteristic
536C22⋊C4C22⋊Dic4711yescharacteristic
537C22⋊C4C22⋊Dic4711yescharacteristic
538C22⋊C4C22⋊Dic4712yes—
539C22⋊C4C22⋊Dic4712yes—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42C2×C22⋊D4712yes—
547C42C2×C22⋊D4712yes—
548C42C2×C22⋊D4712yes—
549C42C2×C22⋊D4712yes—
550C23—22no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C2×C22⋊Dic4711yescharacteristic
560C23C2×C22⋊Dic4711yescharacteristic
561C23C23×Dic4711yescharacteristic
562Q8—44no—
563D4—42no—
564D4—42no—
565C2×C4—21no—
566C2×C4—24no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—41no—
583C2×C4—42no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4C2×C22⋊Dic4711yescharacteristic
598C2×C4C2×C22⋊Dic4711yescharacteristic
599C2×C4C2×C22⋊Dic4711yescharacteristic
600C2×C4C2×C22⋊Dic4711yescharacteristic
601C2×C4C2×C22⋊Dic4712yes—
602C2×C4C2×C22⋊Dic4712yes—
603C2×C4C2×C22⋊Dic4712yes—
604C2×C4#1309403112yes—
605C2×C4C22×C22⋊D4712yes—
606C8—1882no—
607C8—1882no—
608C8—1882no—
609C8—1882no—
610C22—21no—
611C22—21no—
612C22—21no—
613C22—21no—
614C22—21no—
615C22—21no—
616C22—21no—
617C22—42no—
618C22—42no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—81no—
623C22—81no—
624C22#1568909712yes—
625C22C22×C22⋊Dic4711yescharacteristic
626C22C2×#1309403111yescharacteristic
627C22#1568989011yescharacteristic
628C4—22no—
629C4—21no—
630C4—21no—
631C4—22no—
632C4—22no—
633C4—22no—
634C4—21no—
635C4—21no—
636C4—22no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—41no—
642C4—41no—
643C2—21no—
644C2—21no—
645C2—22no—
646C2—41no—
647C2—81no—
648C2#2025183711yescharacteristic
649C2C2×#1568909711yescharacteristic
650C2#2025187111yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic47
commutatorC23×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#552C2
socleC22×C47C22×C22⋊C4
prime radicalC22×D4×C47C2×C4
cosocleC22×C4×C47C24
hypercenterC2×#552D47
hypocenterC47#17417
LCSG ▷ C23×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#117 ◁ C2×#552

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #20252046C2semidirect
2. #20241757C2semidirect
3. #20241744C2semidirect
5. #20241732C2semidirect
6. #20241722C2semidirect
7. #20241718C2semidirect
8. #20241712C2semidirect
9. #20241702C2semidirect
10. C2×#15688849C2semidirect
376. C47#17417semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#202520462
#202417572
#202417442
#202417362
#202417322
#202417222
#202417182
#202417122
#202417022
C2×#156888492
C2×C47×#5522
#1741747